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Finding the Fourth Proportional to 3,809.70, 5,714.55 and 2,081.70

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Solution

The fourth proportional to 3,809.70, 5,714.55 and 2,081.70 is: 3,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.70 : 5,714.55 = 2,081.70 : x
  2. Step 2: Convert to fraction form
    3,809.70/5,714.55 = 2,081.70/x
  3. Step 3: Cross multiply
    3,809.70x = 5,714.55 × 2,081.70
  4. Step 4: Simplify right side
    3,809.70x = 11,895,978.74
  5. Step 5: Solve for x
    x = 11,895,978.74/3,809.70
  6. Step 6: Final answer
    x = 3,122.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.